Which of the following gives an example of a set that is closed under multiplication? choose all that apply. the product of a prime number and a prime number the product of an odd number and an odd number the product of a negative number and a negative number the product of a positive number and a positive number

The examples which shows that a set is closed under multiplication is:

A set "P" is closed under multiplication means :

If a,b∈P

Then ab∈P

a)

The product of a prime number and a prime number.

This set is not closed under multiplication.

Because 2,3 both belongs to the set of prime numbers.

But 2×3=6 is not a prime number.

b)

The product of an odd number and an odd number .

This set is closed under multiplication.

Since multiplication of two odd numbers is always a odd number.

c)

The product of a negative number and a negative number.

This set is not closed under multiplication.

Since the product of 2 negative numbers is always a positive number.

d)

The product of a positive number and a positive number.

This set is  closed under multiplication.

Since the product of 2 positive numbers is always a positive number.

the reason why your question keeps getting deleted because this is not a school related question : )

i will answer your question though.

i never tried church's